
doi: 10.1090/proc/13488
First, we establish the generalized Ostrowski inequality for local fractional integrals on fractal setsRαR^{\alpha }(0>α≤1)\left ( 0>\alpha \leq 1\right )of real line numbers. Secondly, we obtain some new inequalities using the generalized convex function on fractal setsRαR^{\alpha }.
generalized Ostrowski inequality, fractional integral, Fractional derivatives and integrals, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, Inequalities involving other types of functions, fractal sets, generalized convex functions, generalized Hölder inequality
generalized Ostrowski inequality, fractional integral, Fractional derivatives and integrals, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, Inequalities involving other types of functions, fractal sets, generalized convex functions, generalized Hölder inequality
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